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30444101340 = 22352322060943
BaseRepresentation
bin11100010110100111…
…000001111011011100
32220120200221120212220
4130112213001323130
5444322142220330
621552534425340
72125301406642
oct342647017334
986520846786
1030444101340
1111a029a0a34
125a97802250
132b423a7c63
14168b40d192
15bd2aee710
hex7169c1edc

30444101340 has 48 divisors (see below), whose sum is σ = 88949726208. Its totient is φ = 7765451584.

The previous prime is 30444101329. The next prime is 30444101341. The reversal of 30444101340 is 4310144403.

It is a self number, because there is not a number n which added to its sum of digits gives 30444101340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30444101341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11029092 + ... + 11031851.

It is an arithmetic number, because the mean of its divisors is an integer number (1853119296).

Almost surely, 230444101340 is an apocalyptic number.

30444101340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30444101340 is an abundant number, since it is smaller than the sum of its proper divisors (58505624868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30444101340 is a wasteful number, since it uses less digits than its factorization.

30444101340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22060978 (or 22060976 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 30444101340 its reverse (4310144403), we get a palindrome (34754245743).

The spelling of 30444101340 in words is "thirty billion, four hundred forty-four million, one hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 22060943 44121886 66182829 88243772 110304715 132365658 220609430 264731316 330914145 441218860 507401689 661828290 1014803378 1323656580 1522205067 2029606756 2537008445 3044410134 5074016890 6088820268 7611025335 10148033780 15222050670 30444101340